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  3. Conformal Fractals
  • Cited by 151
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    • Publisher:
      Cambridge University Press
      Publication date:
      05 April 2013
      06 May 2010
      ISBN:
      9781139193184
      9780521438001
      DOI:
      https://doi.org/10.1017/CBO9781139193184
      Dimensions:
      Weight & Pages:
      Dimensions:
      (228 x 152 mm)
      Weight & Pages:
      0.52kg, 366 Pages
      • Subjects:
      Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Abstract Analysis
      Series:
      London Mathematical Society Lecture Note Series (371)
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    Subjects:
    Mathematics (general), Mathematics, Differential and Integral Equations, Dynamical Systems and Control Theory, Abstract Analysis
    Series:
    London Mathematical Society Lecture Note Series (371)
    Information

    Book description

    This is a one-stop introduction to the methods of ergodic theory applied to holomorphic iteration. The authors begin with introductory chapters presenting the necessary tools from ergodic theory thermodynamical formalism, and then focus on recent developments in the field of 1-dimensional holomorphic iterations and underlying fractal sets, from the point of view of geometric measure theory and rigidity. Detailed proofs are included. Developed from university courses taught by the authors, this book is ideal for graduate students. Researchers will also find it a valuable source of reference to a large and rapidly expanding field. It eases the reader into the subject and provides a vital springboard for those beginning their own research. Many helpful exercises are also included to aid understanding of the material presented and the authors provide links to further reading and related areas of research.

    Reviews

    'This is an interesting and substantial book which makes a valuable contribution to the theory of iterations of expanding and non-uniformly expanding holomorphic maps, an area with a long tradition as well as a lot of current activities … An extensive bibliography and a useful index complete this essential reference in ergodic theory for conformal fractals.'

    Source: Zentralblatt MATH

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